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Finding the Fourth Proportional to 98,428.30, 135,829.51 and 55,407.69

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Solution

The fourth proportional to 98,428.30, 135,829.51 and 55,407.69 is: 76,461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,428.30 : 135,829.51 = 55,407.69 : x
  2. Step 2: Convert to fraction form
    98,428.30/135,829.51 = 55,407.69/x
  3. Step 3: Cross multiply
    98,428.30x = 135,829.51 × 55,407.69
  4. Step 4: Simplify right side
    98,428.30x = 7,525,999,382.93
  5. Step 5: Solve for x
    x = 7,525,999,382.93/98,428.30
  6. Step 6: Final answer
    x = 76,461.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.